NL-NWO 1985 Problem 1

For some $p$ , the equation $x^3 + px^2 + 3x - 10 = 0$ has three real solutions $a,b,c$ such that $c - b = b - a > 0$ . Determine $a,b,c,$ and $p$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.